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Finding the Fourth Proportional to 8,408.40, 12,614.40 and 2,565.60

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Solution

The fourth proportional to 8,408.40, 12,614.40 and 2,565.60 is: 3,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.40 : 12,614.40 = 2,565.60 : x
  2. Step 2: Convert to fraction form
    8,408.40/12,614.40 = 2,565.60/x
  3. Step 3: Cross multiply
    8,408.40x = 12,614.40 × 2,565.60
  4. Step 4: Simplify right side
    8,408.40x = 32,363,504.64
  5. Step 5: Solve for x
    x = 32,363,504.64/8,408.40
  6. Step 6: Final answer
    x = 3,848.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.